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Finding the Fourth Proportional to 58,780, 81,116.38 and 31,922.52

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Solution

The fourth proportional to 58,780, 81,116.38 and 31,922.52 is: 44,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,780 : 81,116.38 = 31,922.52 : x
  2. Step 2: Convert to fraction form
    58,780/81,116.38 = 31,922.52/x
  3. Step 3: Cross multiply
    58,780x = 81,116.38 × 31,922.52
  4. Step 4: Simplify right side
    58,780x = 2,589,438,857.30
  5. Step 5: Solve for x
    x = 2,589,438,857.30/58,780
  6. Step 6: Final answer
    x = 44,053.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.